Abstract
We discuss the semigroup domination on a Riemannian manifold with boundary. Our main interest is the Hodge–Kodaira Laplacian for differential forms. We consider two kinds of boundary conditions; the absolutely boundary condition and the relative boundary condition. Our main tool is the square field operator. We also develop a general theory of semigroup commutation.
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Shigekawa, I. Semigroup Domination on a Riemannian Manifold with Boundary. Acta Applicandae Mathematicae 63, 385–410 (2000). https://doi.org/10.1023/A:1010708800964
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DOI: https://doi.org/10.1023/A:1010708800964